Canonical exact solutions for Levy-plates on two-parameter foundation using Green's functions

K. Y. Lam, C. M. Wang, X. Q. He

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

158 Citations (Scopus)

Abstract

This paper concerns the elastic bending, buckling and vibration problems of Levy-plates resting on various two-parameter foundation models. Using Green's functions, canonical exact solutions have been derived for such plates. These exact solutions are valuable to researchers and engineers as they serve as benchmark results for checking the convergence, validity and accuracy of numerical solutions. For this purpose, some sample bending, buckling and vibration results for Levy-plates on two-parameter foundation are presented. Moreover, these exact solutions show clearly the intrinsic features of the solutions with respect to the various design parameters.
Original languageEnglish
Pages (from-to)364-378
JournalEngineering Structures
Volume22
Issue number4
DOIs
Publication statusPublished - Apr 2000
Externally publishedYes

Research Keywords

  • Bending
  • Buckling
  • Green's functions
  • Levy-plates
  • Two-parameter foundation
  • Vibration

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